Answer: 40 coins. Doesn't your profile say college?
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
![\sin(Z) = \dfrac{XY}{XZ}](https://tex.z-dn.net/?f=%5Csin%28Z%29%20%3D%20%5Cdfrac%7BXY%7D%7BXZ%7D)
In order to find XY, we have
![XY = \sqrt{XZ^2-YZ^2} = \sqrt{1600-1024}=\sqrt{576} = 24](https://tex.z-dn.net/?f=XY%20%3D%20%5Csqrt%7BXZ%5E2-YZ%5E2%7D%20%3D%20%5Csqrt%7B1600-1024%7D%3D%5Csqrt%7B576%7D%20%3D%2024)
So, the ratio for the sine is
![\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{5}](https://tex.z-dn.net/?f=%5Csin%28Z%29%20%3D%20%5Cdfrac%7BXY%7D%7BXZ%7D%20%3D%20%5Cdfrac%7B24%7D%7B40%7D%20%3D%20%5Cdfrac%7B3%7D%7B5%7D)
Answer:
Step-by-step explanation:
Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.
Answer:
The conclusion is that the robber is fast.
Step-by-step explanation:
The first assertion is that if the robber is fast, the police can't catch him. The next information that you get is that they indeed <em>can't </em>catch him, showing that this is the answer.